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    Two Analytical Solutions for Dynamic Crack Bifurcation in Antiplane Strain

    Source: Journal of Applied Mechanics:;1982:;volume( 049 ):;issue: 002::page 366
    Author:
    P. Burgers
    ,
    J. P. Dempsey
    DOI: 10.1115/1.3162095
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A semi-infinite crack is subjected to constant magnitude, dynamic antiplane loading at time t = 0. At the same instant the crack is assumed to bifurcate and propagate normal to its original plane or to propagate without branching. For constant crack-tip velocities the stresses and particle velocity are functions of r/t and θ only, which allows Chaplygin’s transformaton and conformal mapping to be used to obtain two Riemann-Hilbert problems which can be solved analytically. Expressions for the elastodynamic Mode III stress-intensity factors are then computed as functions of the crack-tip velocity and some conclusions concerning crack initiation are drawn.
    keyword(s): Fracture (Materials) , Bifurcation , Functions , Stress AND Particulate matter ,
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      Two Analytical Solutions for Dynamic Crack Bifurcation in Antiplane Strain

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/95402
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    contributor authorP. Burgers
    contributor authorJ. P. Dempsey
    date accessioned2017-05-08T23:12:34Z
    date available2017-05-08T23:12:34Z
    date copyrightJune, 1982
    date issued1982
    identifier issn0021-8936
    identifier otherJAMCAV-26199#366_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/95402
    description abstractA semi-infinite crack is subjected to constant magnitude, dynamic antiplane loading at time t = 0. At the same instant the crack is assumed to bifurcate and propagate normal to its original plane or to propagate without branching. For constant crack-tip velocities the stresses and particle velocity are functions of r/t and θ only, which allows Chaplygin’s transformaton and conformal mapping to be used to obtain two Riemann-Hilbert problems which can be solved analytically. Expressions for the elastodynamic Mode III stress-intensity factors are then computed as functions of the crack-tip velocity and some conclusions concerning crack initiation are drawn.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTwo Analytical Solutions for Dynamic Crack Bifurcation in Antiplane Strain
    typeJournal Paper
    journal volume49
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3162095
    journal fristpage366
    journal lastpage370
    identifier eissn1528-9036
    keywordsFracture (Materials)
    keywordsBifurcation
    keywordsFunctions
    keywordsStress AND Particulate matter
    treeJournal of Applied Mechanics:;1982:;volume( 049 ):;issue: 002
    contenttypeFulltext
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